32667074064 has 640 divisors, whose sum is σ = 109343001600. Its totient is φ = 9277931520.

The previous prime is 32667074021. The next prime is 32667074131. The reversal of 32667074064 is 46047076623.

It is a super-2 number, since 2×32667074064² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 367045732 + ... + 367045820.

It is an arithmetic number, because the mean of its divisors is an integer number (170848440).

Almost surely, 2^32667074064 is an apocalyptic number.

32667074064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32667074064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54671500800).

32667074064 is an abundant number, since it is smaller than the sum of its proper divisors (76675927536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32667074064 is a wasteful number, since it uses less digits than its factorization.

32667074064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 32667074064 in words is "thirty-two billion, six hundred sixty-seven million, seventy-four thousand, sixty-four".